Phase-change visualization in two-dimensional phase objects with a semiderivative real filter

Applied Optics

Volumn 37, Issue 23, 1998, Pages 5472-5478

  Szoplik, Tomasz ^a   Climent, Vicent ^b   Tajahuerce, Enrique ^b   Lancis, Jesús ^b   Fernández Alonso, Mercedes ^b  

^a UNIVERSITY OF WARSAW   (Poland)

^b UNIVERSITAT JAUME I   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000339590     PISSN: 1559128X     EISSN: 21553165     Source Type: Journal    
DOI: 10.1364/AO.37.005472     Document Type: Article

References (18)

1. K. B. Oldham and J. Spanier, The Fractional Calculus (Academic, Orlando, Fla., 1974).
2. S. G. Samko, A. A. Kilbas, and O. I. Maritchev, Fractional Integrals and Derivatives and their Applications (Science and Technique, Minsk, Russia, 1987) (in Russian).
3. M. W. Michalski, “Derivatives of noninteger order and their applications, ” Diss. Math. 328, 3-47 (1993).
4. J. Lancis, T. Szoplik, E. Tajahuerce, V. Climent, and M. Fernández-Alonso, “Fractional derivative Fourier plane filter for phase-change visualization, ” Appl. Opt. 36, 7461-7464 (1997).
5. E. Tajahuerce, T. Szoplik, J. Lancis, V. Climent, and M. Fernández-Alonso, “Phase-objet fractional differentiation using Fourier plane filters, ” Pure Appl. Opt. 6, 481-490 (1997).
6. V. Climent, M. Fernández-Alonso, J. Lancis, E. Tajahuerce, and T. Szoplik, “Visualization of phase changes using semiderivative Fourier plane filter, ” in Diffractive Optics, EOS Topical Meeting Digest Series Vol. 12 (European Optical Society, Orsay, France, 1997), pp. 272-273.
7. G. O. Reynolds, J. B. DeVelis, G. B. Parrent, and B. J. Thompson, The New Physical Optics Notebook (SPIE Press, Bellingham, Wash., 1989), pp. 474-502.
8. L. M. Soroko, Hilbert Optics (Science, Moscow, Russia, 1981), pp. 34-94 (in Russian).
9. K. Gniadek, Optical Information Processing (Panstwowe Wydawnictwo Naukowe, Warsaw, Poland, 1992), pp. 257-269, 306-311 (in Polish).
10. A. W. Lohmann and D. P. Paris, “Computer generated spatial filters for coherent optical data processing, ” Appl. Opt. 7, 651-655 (1968).
11. R. A. Sprague and B. J. Thompson, “Quantitative visualization of large variation phase objects, ” Appl. Opt. 11, 1469-1479 (1972).
12. R. N. Bracewell, The Fourier Transform and its Applications (McGraw-Hill, New York, 1986).
13. H. Kasprzak, “Differentiation of a noninteger order and its optical implementation, ” Appl. Opt. 21, 3287-3291 (1982).
14. B. A. Horwitz, “Phase image differentiation with linear intensity output, ” Appl. Opt. 17, 181-186 (1978).
15. R. Ulichney, Digital Halftoning (MIT Press, Cambridge, Mass., 1990).
16. M. Kowalczyk, T. Cichocki, M. Martinez-Corral, and V. Kober, “Binarization of continuous-tone pupil filters: a comparison of several digital halftoning procedures, ” Pure Appl. Opt. 4, 553-570 (1995).
17. I. Moreno, C. Gorecki, J. Campos, and M. J. Yzuel, “Comparison of computer-generated holograms produced by laser printers and lithography: application to pattern recognition, ” Opt. Eng. 34, 3520-3525 (1995).
18. M. Wychowaniec, “Phosphate glass for gradient-index lenses, ” Opt. Eng. 36, 1622-1624 (1997).